The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A237109

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A237109

a(n) is the numerator of 2*n / ((n+2) * (n+3)).
(history; published version)

#53 by Joerg Arndt at Thu Jan 05 03:20:39 EST 2023

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reviewed

approved

#52 by Michel Marcus at Thu Jan 05 02:28:50 EST 2023

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proposed

reviewed

#51 by Amiram Eldar at Thu Jan 05 01:53:06 EST 2023

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editing

proposed

#50 by Amiram Eldar at Thu Jan 05 01:46:16 EST 2023

FORMULA

Dirichlet g.f.: zeta(s-1)*(1-1/2^s+2/4^s)*(1-2/3^s). - Amiram Eldar, Jan 05 2023

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approved

editing

#49 by Peter Luschny at Thu Nov 17 05:14:54 EST 2022

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reviewed

approved

#48 by Joerg Arndt at Thu Nov 17 05:08:13 EST 2022

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proposed

reviewed

#47 by Amiram Eldar at Thu Nov 17 02:34:41 EST 2022

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editing

proposed

#46 by Amiram Eldar at Thu Nov 17 02:21:36 EST 2022

FORMULA

From Amiram Eldar, Nov 17 2022: (Start)

Multiplicative with a(2) = 1, a(2^e) = 2^e for e > 1, a(3^e) = 3^(e-1), and a(p^e) = p^e for p >= 5.

Sum_{k=1..n} a(k) ~ (49/144) * n^2. (End)

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approved

editing

#45 by Charles R Greathouse IV at Thu Sep 08 08:46:06 EDT 2022

PROG

(MAGMAMagma) [Numerator(2*n/((n+2)*(n+3))): n in [1..50]]; // G. C. Greubel, Aug 07 2018

Discussion

Thu Sep 08

08:46

OEIS Server: https://oeis.org/edit/global/2944

#44 by Michael Somos at Wed Aug 08 00:39:28 EDT 2018

STATUS

editing

approved